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The Moore–Penrose inverses of products and differences of projections in a -algebra

✍ Scribed by Yuan Li

Book ID: 104037227
Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 121 KB
Volume: 428
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.09.021

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In this paper, we consider the product of matrices P AQ, where A is von Neumann regular and there exist P and Q such that P P A = A = AQQ . We give necessary and sufficient conditions in order to P AQ be Moore-Penrose invertible, extending known characterizations. Finally, an application is given to